 | Charles Davison - Geometry, Solid - 1905 - 140 pages
...of the octahedron is twice that of the cube. AREA AND VOLUME OF A SPHERE. 88. DBF. 69. A zone is the portion of the surface of a sphere included between two parallel planes. If one of the planes be a tangent-plane to the sphere, the zone is called a zone of one base. 89. PROP.... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...given sphere. SOLID GEOMETRY — BOOK VIII MENSURATION OF THE SPHERE SPHERICAL SURFACES DEFINITIONS 815 A zone is a portion of the surface of a sphere included between two parallel planes. The bases of a zone are the circumferences of the sections formed by the parallel planes. The altitude... | |
 | Joseph Claudel - Mathematics - 1906 - 758 pages
...given; Third, when three sides are given; Fourth, when three angles are given (663). 868. A zone is that portion of the surface of a sphere included between two parallel planes CED, AFB (Fig. 132). The bases of the zone are the two circumferences CED and AFB, which include the... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...158°, respectively; the volume of the sphere being 180. MEASUREMENT OF THE SPHERE DEFINITIONS 583. A zone is a portion of the surface of a sphere included between two parallel planes. The circumferences of the circles which bound the zone are called the bases, and the perpendicular distance... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...(Why?) AB 2 TTCH .'. AB X 2 TTCE = DF X 2 TrCH. .'. area AB = DF X 2 TTCH. BOOK VIII 706 Definitions. A zone is a portion of the surface of a sphere included between two parallel planes which cut the sphere. The circumferences of the sections of the sphere are the bases of the zone and... | |
 | William Herschel Bruce, Claude Carr Cody - Geometry, Solid - 1912 - 134 pages
...semicircles. 785. The angle of a lune is the spherical angle between the semicircles that bound it. 786. DEF. A zone is a portion of the surface of a sphere included between two parallel planes. 787. DEF. The common sections of the sphere and the planes are the bases of the zone, and the perpendicular... | |
 | George Clinton Shutts - Geometry - 1912 - 392 pages
...2) 180° = E. 4. S = Sl + S2 + St -i- . . = #1 +E2 + E3 + . . . = E. Therefore — 767. • A ZONE. A portion of the surface of a sphere included between two parallel planes is a zone. The circles of the sphere formed by the bounding planes are the bases of the zone and the... | |
 | George C. Shutts - 1913 - 212 pages
...= A of ABCD — (n — 2) 180° = E. 4. S = &+ S 2 + S 2 + ... = Ei+ E,+ E 2 + ... =E. 769. A ZONE. A portion of the surface of a sphere included between two parallel planes is a zone. The circles of the sphere formed by the bounding planes are the bases of the zone and the... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 272 pages
...a unit rectangular parallelepiped (a unit of volume), each of whose dimensions is one linear unit. A Zone is a portion of the surface of a sphere included between two parallel planes which cut the sphere. A Zone of One Base is a zone having one of its bounding planes tangent to the... | |
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The circumferences of the sections made by the planes are called the bases of the zone, and the distance between the planes is the altitude of the zone. 
